Generalized approximation spaces and applications

被引：19

作者：

Almira, JM

Luther, U ^{[1
]}

机构：

[1] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany

[2] Univ Jaen, E U P Linares, Dept Math, Linares 23700, Jaen, Spain

来源：

MATHEMATISCHE NACHRICHTEN | 2004年 / 263卷

关键词：

approximation spaces; Besov spaces; extension of unbounded operators; representation theorem;

D O I：

10.1002/mana.200310121

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper we generalize the theory of classical approximation spaces to a much wider class of spaces which are defined with the help of best approximation errors. We also give some applications. For example, we show that generalized approximation spaces can be used to find natural (in some sense) domains of definition of unbounded operators. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：3 / 35

页数：33

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